Atkin-Lehner |
2- 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102y |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-843377184 = -1 · 25 · 39 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,4313] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-32:1] |
Generators of the group modulo torsion |
j |
-16022066761/1156896 |
j-invariant |
L |
8.3043713873352 |
L(r)(E,1)/r! |
Ω |
1.555878214255 |
Real period |
R |
0.26687086788831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034c1 |
Quadratic twists by: -3 |